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Finding the Fourth Proportional to 6,239.71, 9,359.94 and 1,856.80

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Solution

The fourth proportional to 6,239.71, 9,359.94 and 1,856.80 is: 2,785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,239.71 : 9,359.94 = 1,856.80 : x
  2. Step 2: Convert to fraction form
    6,239.71/9,359.94 = 1,856.80/x
  3. Step 3: Cross multiply
    6,239.71x = 9,359.94 × 1,856.80
  4. Step 4: Simplify right side
    6,239.71x = 17,379,536.59
  5. Step 5: Solve for x
    x = 17,379,536.59/6,239.71
  6. Step 6: Final answer
    x = 2,785.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.